Hi all, firstly, this is not a strictly BA query but you are all usually so helpful and this is the only part of the site I read.

We are looking to book a trip (itinerary below) and was wondering if there is a website that you can look at to price things up. AA.com works as the return legs are on AA but the problem I am having is that I can't include the Jetblue Cayman to JFK on this.

The price that I am getting (excluding the GCM to JFK leg) is also higher than what a travel agent has quoted for the whole thing.

JETBLUE 24MAR CAYMAN – JFK 2.20pm arrive 7.12pm
CATHAY PACIFIC 25MAR JFK – HKG 1.30am arrive 5.15am 26MAR
AA 08APR TOKYO – DALLAS 10.40am arrive 8.25am connect at 10.55am arrive CAYMAN 2.10pm

(Note: ignore the HKG to Tokyo, this will be booked separately)

I haven't really booked a flight like this before so would appreciate any advice.

Many thanks
JB